Let me expound a bit on pjmlp's comment.
First, Clojure is very much inspired by OOP (with actual OO features). It has not one, but two subtype polymorphic dispatch mechanisms ("virtual dispatch" in OOP parlance): multimethods and protocols. These aren't just any features. Much of Clojure's functionality and design is built around protocols, which is just your plain-old OOP polymorphism. So some OOP concepts are not only present in Clojure, it is central and essential. OCaml, of course, is also FP and OOP, as is Common Lisp.
Second, what you call FP'isms have been part of OOP for about 40 years now, and not only Smalltalk. Closures were a planned feature of Java 1.0, but were dropped because of deadline considerations[1]. In fact, most features you associate with FP were very well known when OOP came about.
So OOP and FP have never been in opposition to one another. Just sets of features that you can choose from. The thing is, that in spite of having some sharp corners, OOP has proved very apt as a paradigm for building large maintainable system. In fact, we know it's done a much better job than the previous prevailing paradigm of structured programming, that we can't be sure whether OOP's "downsides" are anything particular to OOP or simply a result of any imperfect paradigm that has achieved such wide usage by programmers of a very wide range of skill and experience.
As to non-OOP FP, it is quite possible that much of its allure is nothing more than its relative novelty to developers today, and that it hasn't yet suffered much abuse in the hands of inexperienced programmers. But we don't yet know whether it would fare as well as OOP in the development and maintenance of large, long-lasting software.
It's best, I think, not to be too dogmatic about these things. OOP has some great ideas, as does FP. Both have their shortcomings.
My admiration for Clojure comes not from its abandonment of OOP (because, as I've explained, it didn't completely abandon OOP), but its very wise selection of features from both OOP and FP, while keeping the language very simple and incorporating some very interesting new ideas (all shared data is immutable/transactional). It does remain to be seen, however, how Clojure fares in large projects over time.
[1]: http://www.blinkenlights.com/classiccmp/javaorigin.html